Which parts differentiate ray diagrams of reflected and refracted light? check all that apply.

The mass of the rod is 140 grams. If lim f(x) = lim g(x) = L, then lim [f(x) - g(x)] = lim f(x) - lim g(x) = L - L = 0. The correct option is (i) equal 0.

To find the mass of the rod, we can integrate the linear density function over the length of the rod:

m = ∫0^100 (7/√x) dx

Using the power rule of integration, we can simplify this expression:

m = 14[√x]0^100

m = 14(10 - 0)

m = 140 grams

Therefore, the mass of the rod is 140 grams.

As for the multiple-choice question, if lim f(x) = lim g(x) = L, then we can use the limit laws to evaluate the limit of their difference:

lim [f(x) - g(x)] = lim f(x) - lim g(x) = L - L = 0

So the answer is (i) equal 0.

This result holds true for any two functions with the same limit as x approaches a particular value or infinity. The limit of their difference will always be equal to the difference of their limits, which is zero in this case. Therefore, the answer is not dependent on the specific functions f and g.

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Answer:

Any graph that looks like the graph on the picture is the answer.

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

Answer:

D

Step-by-step explanation:

There are 2,082,517 different random samples of five accounts that are possible from the population of 75 bank accounts.

Simple random sampling is one of the most straightforward types of probability sampling.

It works by randomly selecting participants from the population. In a simple random sample, all members of a population have an equal chance of being selected.

It means that each sample unit has the same chance of being selected as any other unit in the population.

To determine how many different random samples of five accounts are possible, we can use the following formula: nCx where n is the number of elements in the population, and x is the sample size.

In this case, n = 75, and x = 5.

Therefore, the number of different random samples of five accounts that are possible can be calculated as follows:

75C5 = (75!)/(5! × (75 − 5)!)

= 75, 287, 520/ (120 × 2,007,725)

= 2,082,517.

There are 2,082,517 different random samples of five accounts that are possible from the population of 75 bank accounts.

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Answer:

the answer is 81,920 I hope this helps you!!

Answer:

0.075

Step-by-step explanation:

To represent 7 1/2 as a decimal, it would be 0.075 since there are 7 hundredths and half a hundredth.

It has been established that the manufacturer is legal.

The test statistic is 13

The p-value is 0.

a. Formulate the hypotheses:

The hypotheses for this test are:

H  0: μ ≤ 50

H  a: μ > 50.

b. test statistic:

The test statistic will be a t-test because we do not know the population standard deviation.

Since this is a one-sided test, we will use a one-sample t-test.

The test statistic can be calculated using the formula below:

Substituting these values into the formula gives:

t = (51.5 - 50) / (4 / √64)

t = 6.5 / 0.5

t = 13

The test statistic is 13.

c. When the p-value associated with the sample results, using a t-distribution table with 63 degrees of freedom (64 - 1), we find that the p-value associated with a t-statistic of 13 is 0.

Therefore, we can reject the null hypothesis and conclude that the manufacturer's advertising is permitted.

The sample provides sufficient evidence to show that the new small cars average more than 50 miles per gallon of gasoline.

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Given the initial position s = 0, velocity v = (t2 - 4t + 3) m/s and time interval 0 ≤ t ≤4 s. To construct the v–t and a–t graphs for a particle travelling along a straight line with a velocity of v = (t2 - 4t + 3) m/s for the time interval 0 ≤ t ≤ 4 s, follow the steps below:

1. Substitute values of t, 0, 1, 2, 3, and 4 into the velocity equation to obtain the corresponding velocities.

2. Plot the t-values against the corresponding velocities on a graph. This is the v–t graph.

3. Calculate the acceleration by differentiating the velocity equation with respect to time.

4. Substitute values of t, 0, 1, 2, 3, and 4 into the acceleration equation to obtain the corresponding accelerations.

5. Plot the t-values against the corresponding accelerations on a graph. This is the a–t graph.

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Answer:

  (5/2)√13 ≈ 9.01 square units

Step-by-step explanation:

You want the area of ∆PQR defined by vertices P(2, 0, 2), Q(-1, -1, 0) and R(2, 3, -2).

The area of the triangle will be half the magnitude of the cross product of two vectors representing the sides of the triangle:

  A = 1/2|PQ×PR|

The attached calculator display shows the result of this calculation.

  A = (5/2)√13 ≈ 9.01 . . . . square units

__

Additional comment

The area of a triangle with side lengths 'a' and 'b' and angle C between them is A=1/2(a·b·sin(C)). The magnitude of the cross product of A and B is ...

  |A×B| = |A|·|B|·sin(θ)

where θ is the angle between the vectors. Comparing these formulas, we see that the area of the triangle of interest can be found using the cross product of the vectors representing sides of the triangle. A scale factor of 1/2 is required.

If the vectors represent two adjacent sides of a parallelogram, then its area can be found using the cross product without the scale factor.

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For the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

To find the ratio of the average flux for e > 45 degrees to the omnidirectional flux in a pancake distribution of sin(a) where a = 0, we need to calculate the directional flux, omnidirectional flux, directional solid angle, and omnidirectional solid angle.

Directional Flux:

The directional flux is the flux within a specific direction or range of angles. In this case, we are interested in e > 45 degrees.

Omnidirectional Flux:

The omnidirectional flux is the total flux in all directions or over the entire solid angle.

Directional Solid Angle:

The directional solid angle is the solid angle subtended by the specified direction or range of angles. In this case, it would be the solid angle corresponding to e > 45 degrees.

Omnidirectional Solid Angle:

The omnidirectional solid angle is the total solid angle subtended by all possible directions or over the entire sphere.

To find the flux per solid angle for both the directional and omnidirectional cases, we can use the formula:

Flux per Solid Angle = Total Flux / Solid Angle

Finally, to find the ratio of the average flux for e > 45 degrees to the omnidirectional flux, we divide the flux per solid angle for the directional case by the flux per solid angle for the omnidirectional case.

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Answer:

f

(

x

)

=3

(2.50+

6.00x)

Answer:

B

Step-by-step explanation:

f(x)=3(2.50+6.00x)

pls give Brainliest.

True. Recursion is often necessary to solve certain types of problems that exhibit a recursive structure or require repeated subproblem solving.

Recursion is a programming technique where a function calls itself in its own definition. It allows for the decomposition of complex problems into smaller, more manageable subproblems that can be solved recursively. Recursion is particularly useful when problems exhibit a recursive structure, such as tree traversal, backtracking, or divide-and-conquer algorithms.

For example, problems like computing the factorial of a number, calculating Fibonacci numbers, or traversing a binary tree can be elegantly and efficiently solved using recursion. These problems can be broken down into smaller instances of the same problem until a base case is reached, and then the solutions are combined to solve the original problem.

However, it's worth noting that not all problems require recursion for their solution. There are alternative approaches, such as iterative loops or dynamic programming, which can be used depending on the problem's characteristics and requirements.

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a.one-way independent ANOVA

Choose inferential test based on data type and research design. One-way independent ANOVA for 3+ independent groups. Two-way independent ANOVA for 2 independent variables. Two-way repeated ANOVA for repeated measures at multiple time points from same group. Two-way mixed ANOVA for both independent groups and within-group repeated measures.

Inferential tests are statistical tools that are used to analyze data and draw conclusions about a population based on a sample. The choice of the inferential test depends on the type of data and the research design used.

One of the most commonly used inferential tests is the ANOVA (analysis of variance), which compares the means of two or more groups. The one-way independent ANOVA is used to compare means of three or more independent groups, while the two-way independent ANOVA is used to analyze data with two independent variables.

The two-way repeated ANOVA is used when data is collected at multiple time points from the same group, while the two-way mixed ANOVA is used when data is collected from both independent groups and within-group repeated measures.

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There is a 30% chance that the stock price will be more than $27. Since the closing price of the stock is uniformly distributed between $20 and $30, we can assume that each value within that range has an equal chance of occurring. Therefore, the probability of the stock price being more than $27 is the same as the probability of the stock price falling between $27 and $30.

To get this probability, we can calculate the proportion of the total range that falls within the $27 to $30 range. This can be done by finding the length of the $27 to $30 range (which is $3), and dividing it by the length of the entire range ($30 - $20 = $10).
So the probability of the stock price being more than $27 is: $3 / $10 = 0.3, or 30%
Therefore, there is a 30% chance that the stock price will be more than $27.

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Answer:

79

Step-by-step explanation:

Answer:

79!

Step-by-step explanation:

Anything above 78.5 would be rounded up :)

Answer:

25%

Step-by-step explanation:

Answer:

where is the venn diagram

Step-by-step explanation:

Answer:

where is the Venn diagram

Step-by-step explanation:

Answer:

x =9

Step-by-step explanation:

48-12=36

4x=36

divide by 4

x=9

Answer: A) x=9

48-12=36.

36/4=9

More detailed explanation:

4x+12=48

   -12    -12

    4x = 36

    /4     /4

    x   =    9

Step-by-step explanation:

subtract 12 from both sides , then divide both sides by 4

Answer:

x= 0

Step-by-step explanation:

Because it scale factor

Using the rules of exponents, the expression (5 x^−5 y^3)^−2 is equivalent to x^10 / (25 y^6) or "x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity".

Given: (5 x^−5 y^3)^−2

1. Distribute the power of two using the Power of a Power Rule. "When a power is raised to another power, multiply the exponents."

5^−2 x^(−5)(−2) y^(3)(−2) =  5^−2 x^10 y^-6

2. Use Negative Rule of Exponent. "A number with a negative exponent should be put to the denominator, and vice versa."

5^−2 x^10 y^-6 = (x^10) / (5^2 y^6)

3. Simplify the constant term.

(x^10) / (5^2 y^6) = x^10 / 25 y^6

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The density οf the substance is 4 g/ml³.

The density can be calculated by dividing the mass (in grams) by the vοlume (in milliliters).

Density is the substance's mass per unit οf vοlume. The symbοl mοst οften used fοr density is ρ, althοugh the Latin letter D can alsο be used. Mathematically, density is defined as mass divided by vοlume:

\({\displaystyle \rho ={\frac {m}{V}}}\)

where ρ is the density, m is the mass, and V is the vοlume.

Therefοre:

Density = Mass / Vοlume

Density = 1000 grams / 250 ml

Density = 4 grams/ml

Sο the density οf the substance is 4 g/ml³.

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Step-by-step explanation:

the answer is in the above image

The next three numbers are - 40, 48, 56,..

The pattern belongs to multiples of 8.

Complete pattern is - 8,16,24,32,40, 48, 56,..

Examine the pattern's initial three to four numbers. What connection exists between these numbers, you could ask. For instance, the first three to four numbers in this mathematical pattern are 1, 3, 6, and 10. As the numbers rise, it appears that you must add to obtain the subsequent number. You begin by adding 2, then 2, 3, and then 4. Therefore, if you put this on paper, you probably notice a pattern emerging.

To test whether your solution works, try the remaining pieces of the pattern that was provided.

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Answer:

-4.29

Step-by-step explanation:

The computation of the z score is shown below:

data provided in the question

Average minutes = 16 minutes

Standard deviation = 1.4 minutes

Amount of advertising time = 8 minutes

Based on the above information, the z score is

\(= \frac{x-m}{\sigma} \\\\ = \frac{8-14}{\1.4} \\\\ = \frac{-6}{1.4}\)

= -4.29

Hence, the z score is -4.29. It is come by considering the above formula

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\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}\)

         11z-6=16, what is z?

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\)

We need to make sure that all variables are on the left-hand side and the numbers are on the right-hand side.

Since we have a number on the left-hand side, we need to move it to the right-hand side with the opposite operation:-

11z=16+6

\(\it{11z=22}\)

Divide by 11 on both sides:-

\(\it{z=2}\)

We can check our solution by replacing z with 2 and seeing whether or not we end up with a true statement:-

\(\it{11(2)-6=16}\)

\(\it{22-6=16}\)

\(\it{16=16}\)

So we conclude that our solution, z=2, is correct.

          - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

z=2

Step-by-step explanation:

11(2)-6=16

22-6=16

99% Confidence Interval for the Population Percentage of Defective Disks = (0.1004, 0.1196).

Rules for Decimals. Align up the decimal points. To ensure that every one of the values have the same number of places following the decimal, add 0s. Add the same way you would with complete numbers.

Step 1:

Sample Size: n=7002

Number of non-defective disks =6232

Number of defective disks: x = 7002-6232=770

Sample proportion \(\widehat{p}\) = x/n = 770/ 7002 = 0.110

Estimated proportion of disks which are defective: Sample proportion: \(\widehat{p}\) = 0.110

Step 2:

Range of confidence for the population proportion:

\(=\widehat{p}\pm z_{\alpha /2}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

\(\alpha = (100-99)/100 = 0.01; \alpha/2 = 0.005\)

99% Confidence interval =

\(=\widehat{p}\pm z_{0.005}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

from standard normal tables z0.005 = 2.58

99% Confidence Level for the Population Percentage of Defective Disks =

\(=\widehat{p}\pm z_{0.005}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

\(=0.11\pm 2.58\sqrt{(0.11(1-0.11))/7002}\)

\(=0.11\pm 2.58\sqrt{(0.110\times 0.89)/7002}=0.11\pm 2.58\sqrt{\frac{0.0979}{7002}}\)

\(=0.11\pm 2.58\times 0.0037 = 0.11\pm 0.0096 =(0.1004, 0.1196)\)

99% Confidence interval for population proportion of disks which are defective= (0.1004, 0.1196).

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The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2

The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.

To solve this differential equation, we can use the method of integrating factors.

First, let's rearrange the equation in the standard form:

\(\[\frac{{dy}}{{dt}} - y = 2u\]\)

Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.

In this case, the coefficient of y is -1:

Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)

Multiplying both sides of the equation by the integrating factor gives:

\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)

The left side of the equation can be rewritten using the product rule of differentiation:

\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)

Integrating both sides with respect to t gives:

\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)

Since u is a step change of unity, we can split the integral into two parts based on the step change:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)

Simplifying the integrals gives:

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)

\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)

Evaluating the integral on the right side gives:

\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)

\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)

Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:

\(\[e^{-t}y = 2(-e^{-t})\]\)

Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2

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Answer:

the pie number is 3.14 so just make square

Step-by-step explanation:

I hope this helps you alot xin and con are equal to$$$

Answer:

21

Step-by-step explanation:

In the chart, the left side increases by one, and the right side increases by 3. So the left side multiplied by 3 will give you the right side. 7 x 3 = 21, so he will need 21 cups of water.